Search a number
-
+
5337262440 = 23325137108217
BaseRepresentation
bin1001111100010000…
…00010100101101000
3111202222000000122200
410332020002211220
541412314344230
62241340020200
7246155660616
oct47610024550
914688000580
105337262440
1122998222a4
12104b531660
136709a5173
14388bb46b6
15213876160
hex13e202968

5337262440 has 96 divisors (see below), whose sum is σ = 17472878280. Its totient is φ = 1412868096.

The previous prime is 5337262417. The next prime is 5337262451. The reversal of 5337262440 is 442627335.

It can be written as a sum of positive squares in 4 ways, for example, as 3623799204 + 1713463236 = 60198^2 + 41394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5337262395 and 5337262404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4789 + ... + 103428.

Almost surely, 25337262440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5337262440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736439140).

5337262440 is an abundant number, since it is smaller than the sum of its proper divisors (12135615840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5337262440 is a wasteful number, since it uses less digits than its factorization.

5337262440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108371 (or 108364 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5337262440 is about 73056.5701357517. The cubic root of 5337262440 is about 1747.5898730080.

Adding to 5337262440 its reverse (442627335), we get a palindrome (5779889775).

The spelling of 5337262440 in words is "five billion, three hundred thirty-seven million, two hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 49320 108217 216434 324651 432868 541085 649302 865736 973953 1082170 1298604 1623255 1947906 2164340 2597208 3246510 3895812 4328680 4869765 6493020 7791624 9739530 12986040 14825729 19479060 29651458 38958120 44477187 59302916 74128645 88954374 118605832 133431561 148257290 177908748 222385935 266863122 296514580 355817496 444771870 533726244 593029160 667157805 889543740 1067452488 1334315610 1779087480 2668631220 5337262440